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基于弹性力学双圆筒理论的有压水工隧洞应力计算方法 被引量:7

Stress Calculation Method of Pressurized Hydraulic Tunnel Based on Elasticity Double Cylinder Theory
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摘要 围岩为衬砌结构联合工作的承载体,根据极坐标下轴对称平面问题中的厚壁圆筒弹性力学理论,利用围岩、衬砌间的应力、位移耦合关系,建立围岩与衬砌体共同承载时的计算模型,推求围岩与衬砌体的环向、径向应力计算公式。在此基础上,根据混凝土衬砌材料的极限拉应变允许值探讨了其适用性问题,根据塑性力学中的Mises、Tresca塑性屈服条件分析了衬砌可承受的弹性极限内水压力,并深入研究了有压隧洞的混凝土衬砌结构设计中的配筋问题。实例应用结果表明,本文方法合理、有效。 The surrounding rock is the bearing body for the joint work of the lining structure.Based on the elasticity theory of the thick-walled cylinder in the axisymmetric plane problem in polar coordinates,with the stress and displacement coupling relationships between the surrounding rock and the lining structure,a calculation model was established when the surrounding rock and the lining structure were jointly under the bearing effect.And then the circumferential and radial stress calculation formulas of the surrounding rock and the lining structure was derived.On this basis,the applicability of the concrete lining material was discussed with respect to its allowable value of the ultimate tensile strain.The hydraulic pressure that the lining structure can withstand within its elastic limit was analyzed based on the Mises and Tresca plastic yield conditions in plasticity theory.The reinforcement arrangement in the design of concrete lining structure for pressure tunnel was studied.The practical application results show that the proposed method is reasonable and effective.
作者 余国庆 余倩 YU Guo-qing;YU Qian(Chunan County Water Conservancy and Hydropower Bureau,Chunan 311700,China;China United Engineering Corporation Limited,Binjiang 310053,China)
出处 《水电能源科学》 北大核心 2021年第8期146-148,173,共4页 Water Resources and Power
关键词 有压水工隧洞 小洞径 衬砌 弹性力学双圆筒理论 应力计算 pressure hydraulic tunnel small diameter lining double cylinder theory of elasticity stress calculation
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